Pith Number

pith:AZVGJV4X

pith:2016:AZVGJV4XEQWMIQ7MJM7IKOASKF

not attested not anchored not stored refs pending

The Small Field Parabolic Flow for Bosonic Many-body Models: Part 4 - Background and Critical Field Estimates

Eugene Trubowitz, Horst Kn\"orrer, Joel Feldman, Tadeusz Balaban

arxiv:1609.01748 v1 · 2016-09-04 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZVGJV4XEQWMIQ7MJM7IKOASKF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T01:05:10.183384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066a64d797242cc443ec4b3e853812517d53a802741cd05e25493d591c8df510

Aliases

arxiv: 1609.01748 · arxiv_version: 1609.01748v1 · doi: 10.48550/arxiv.1609.01748 · pith_short_12: AZVGJV4XEQWM · pith_short_16: AZVGJV4XEQWMIQ7M · pith_short_8: AZVGJV4X

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/AZVGJV4XEQWMIQ7MJM7IKOASKF \
  | 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: 066a64d797242cc443ec4b3e853812517d53a802741cd05e25493d591c8df510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251237295ec32864293906c288c0a3cf53964a27ef8bfe8595f2c90162d1d0c1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-04T17:32:38Z",
    "title_canon_sha256": "690c6608e3b259e7edaafa9ab22acc65d2a3c845408406ab424b9a79822b6c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01748",
    "kind": "arxiv",
    "version": 1
  }
}