Pith Number

pith:M3EWVLPY

pith:2016:M3EWVLPYDXRI2TK5J4XEBNE6EN

not attested not anchored not stored refs pending

Finite time blowup for a supercritical defocusing nonlinear Schr\"odinger system

Terence Tao

arxiv:1612.00526 v1 · 2016-12-02 · 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{M3EWVLPYDXRI2TK5J4XEBNE6EN}

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	2026-05-18T00:20:56.914595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c96aadf81de28d4d5d4f2e40b49e234389db4fe271786a9d3dbaa8f7cec6cd

Aliases

arxiv: 1612.00526 · arxiv_version: 1612.00526v1 · doi: 10.48550/arxiv.1612.00526 · pith_short_12: M3EWVLPYDXRI · pith_short_16: M3EWVLPYDXRI2TK5 · pith_short_8: M3EWVLPY

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/M3EWVLPYDXRI2TK5J4XEBNE6EN \
  | 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: 66c96aadf81de28d4d5d4f2e40b49e234389db4fe271786a9d3dbaa8f7cec6cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff00b45e8fde8e11951bd9c9f7c611d70d74e828a77bf650990a2f91987a22d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-02T00:41:50Z",
    "title_canon_sha256": "f923cf4c5e72f450224e6cc57196e303c5c5c22c12fa3fd8d552cf3f3ef290f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00526",
    "kind": "arxiv",
    "version": 1
  }
}