Pith Number

pith:IBORUBRD

pith:2020:IBORUBRDN6RAJLGPJB5XF65O54

not attested not anchored not stored refs pending

On microlocalisation and the construction of Feynman Propagators for normally hyperbolic operators

Alexander Strohmaier, Onirban Islam

arxiv:2012.09767 v4 · 2020-12-17 · math.AP · math-ph · math.DG · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBORUBRDN6RAJLGPJB5XF65O54}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Polarisation sets of Green operators for normally hyperbolic equations

Receipt and verification

First computed	2026-07-05T09:51:26.420346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405d1a06236fa204accf487b72fbaeef3c2081428c7239dda9afeff34b2b5dc6

Aliases

arxiv: 2012.09767 · arxiv_version: 2012.09767v4 · doi: 10.48550/arxiv.2012.09767 · pith_short_12: IBORUBRDN6RA · pith_short_16: IBORUBRDN6RAJLGP · pith_short_8: IBORUBRD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IBORUBRDN6RAJLGPJB5XF65O54 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 405d1a06236fa204accf487b72fbaeef3c2081428c7239dda9afeff34b2b5dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed8aac3e4d25dc9c4613c0b887d45a9f6296ee6ed2460f7523fdd0217ca41702",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-17T17:22:51Z",
    "title_canon_sha256": "f9195ffef2dada4c635713203cd8f4d71e0efe80edf42e52f725c9be2591f712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09767",
    "kind": "arxiv",
    "version": 4
  }
}