Pith Number

pith:7KHF36WP

pith:2011:7KHF36WP5O7E4T5OPFUL2ZTI5K

not attested not anchored not stored refs pending

Effective limiting absorption principles, and applications

Igor Rodnianski, Terence Tao

arxiv:1105.0873 v2 · 2011-05-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KHF36WP5O7E4T5OPFUL2ZTI5K}

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	2026-05-18T04:18:45.986341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa8e5dfacfebbe4e4fae7968bd6668eab0aecb764f3eb3732c029259486f00b8

Aliases

arxiv: 1105.0873 · arxiv_version: 1105.0873v2 · doi: 10.48550/arxiv.1105.0873 · pith_short_12: 7KHF36WP5O7E · pith_short_16: 7KHF36WP5O7E4T5O · pith_short_8: 7KHF36WP

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/7KHF36WP5O7E4T5OPFUL2ZTI5K \
  | 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: fa8e5dfacfebbe4e4fae7968bd6668eab0aecb764f3eb3732c029259486f00b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ca49df9acd0ca8c844bed5645a9cbc5e2a391be3e701ff32fe1a7888411630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-04T16:59:29Z",
    "title_canon_sha256": "a6ade6c2e511550ac39af51bf2e0265b577e47d977b89ca3b64ea9c46b1bd054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0873",
    "kind": "arxiv",
    "version": 2
  }
}