Pith Number

pith:ZFP22VL5

pith:2015:ZFP22VL5LPG2YPVFUOT64YUXAQ

not attested not anchored not stored refs pending

The heat flow for the full bosonic string

Volker Branding

arxiv:1510.08758 v2 · 2015-10-29 · math.DG · math-ph · math.AP · 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{ZFP22VL5LPG2YPVFUOT64YUXAQ}

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	2026-05-18T00:57:04.831577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95fad557d5bcdac3ea5a3a7ee62970412e03c37a07a3310494c39262cc08573

Aliases

arxiv: 1510.08758 · arxiv_version: 1510.08758v2 · doi: 10.48550/arxiv.1510.08758 · pith_short_12: ZFP22VL5LPG2 · pith_short_16: ZFP22VL5LPG2YPVF · pith_short_8: ZFP22VL5

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/ZFP22VL5LPG2YPVFUOT64YUXAQ \
  | 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: c95fad557d5bcdac3ea5a3a7ee62970412e03c37a07a3310494c39262cc08573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c36f64c5a8233aee9375866a43faf0477e33e520df5dd4effa3a574c83c9f1d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-29T16:06:25Z",
    "title_canon_sha256": "8d842f287c14bb6c3cd666f1eeca8294469d4e688a175cff4b058093c8290ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08758",
    "kind": "arxiv",
    "version": 2
  }
}